Hasenhuttl has been in charge at the Saint Mary’s Stadium since December 2018 and will be approaching 57 by the time his deal with the Saints expires.
The former Austrian international started his coaching career in 2007 and counts RB Leipzig among his former clubs.
Hasenhuttl is not planning to remain in the dugout for long and wants to experience other things at the end of his contract.
"I always wanted to prove to myself that I could very well work for a club for a longer period of time," he told German outlet Kicker.
"Hopefully it will be five-and-a-half-years here. That's a damn long time in modern football, and then that's probably it.
"Five-and-a-half-years in the Premier League, that's a lot of energy, regardless of job satisfaction. I can't imagine that I want to do anything else in coaching after that.
"And saying no to everything else is also a yes to yourself, and I want that. That's the solid plan and I hope I have the strength to pull it off.
"I want to put Southampton on a very healthy footing by 2024, but then that is it.
"I'll be 57 years old. I'd like to experience other things and not sit on the bench like Roy Hodgson [Watford manager] at 74. Definitely not."
